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123001120013 is a prime number
BaseRepresentation
bin111001010001101110…
…0000010010100001101
3102202111011022022012112
41302203130002110031
54003401241320023
6132301140513405
711613040161302
oct1624334022415
9382434268175
10123001120013
1148189a1aaa2
121ba089ab865
13b7a2ba1625
145d4bb610a9
1532ed6bb478
hex1ca370250d

123001120013 has 2 divisors, whose sum is σ = 123001120014. Its totient is φ = 123001120012.

The previous prime is 123001120003. The next prime is 123001120043. The reversal of 123001120013 is 310021100321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69233713129 + 53767406884 = 263123^2 + 231878^2 .

It is a cyclic number.

It is not a de Polignac number, because 123001120013 - 232 = 118706152717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123001120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123001120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61500560006 + 61500560007.

It is an arithmetic number, because the mean of its divisors is an integer number (61500560007).

Almost surely, 2123001120013 is an apocalyptic number.

It is an amenable number.

123001120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123001120013 is an equidigital number, since it uses as much as digits as its factorization.

123001120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 123001120013 its reverse (310021100321), we get a palindrome (433022220334).

The spelling of 123001120013 in words is "one hundred twenty-three billion, one million, one hundred twenty thousand, thirteen".